Parametric image reconstruction using the discrete cosine transform for optical tomograhy

Xuejun Gu, Kui Ren, James Masciotti, Andreas H. Hielscher

Research output: Chapter in Book/Report/Conference proceedingConference contribution


It is well know that the inverse problem in optical tomography is highly ill-posed. The image reconstruction process is often unstable and non-unique, because the number of the boundary measurements data is far fewer than the number of the unknown parameters (optical properties) to be reconstructed. To overcome this problem one can either increase the number of measurement data (e.g. multi-spectral or mulit-frequency methods), or reduce the number of unknows (e.g. using prior structural information from other imaging modalities). In this paper, we introduce a novel approach for reducing the unknown parameters in the reconstruction process. The discrete cosine transform (DCT), which has long been used in image compression, is here employed to parameterize the reconstructed image. In general, only a few DCT coefficient are needed to describe the main features in an image, and the number of unknowns in the image reconstruction process can be drastically reduced. Numerical as well as experimental examples are shown that illustrate the performance of the new code.

Original languageEnglish (US)
Title of host publicationOptical Tomography and Spectroscopy of Tissue VII
StatePublished - 2007
EventOptical Tomography and Spectroscopy of Tissue VII - San Jose, CA, United States
Duration: Jan 21 2007Jan 24 2007

Publication series

NameProgress in Biomedical Optics and Imaging - Proceedings of SPIE
ISSN (Print)1605-7422


ConferenceOptical Tomography and Spectroscopy of Tissue VII
Country/TerritoryUnited States
CitySan Jose, CA


  • Discrete cosine transform
  • Equation of radiative transfer
  • Optical tomography

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Radiology Nuclear Medicine and imaging
  • Biomaterials


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